Publicaciones 2006-2026

• 2026
  • E. Agullo, H. Anzt, D. Bauer, D. Bindel, A. Buttari, A. Calotoiu, E. Carson, P. D'Ambra, I. Daužickaitė, James W. Demmel, J. Dongarra, I. Duff, M. Fasi, D. Göddeke, S. Graillat, L. Hunhold, R. Iakymchuk, F. Jézéquel, N. Kohl, H. Köstler, J. Kružík, J. Langou, X. Li, H. Ltaief, P. Luszczek, Y. Ma, Th. Mary, M. Mikaitis, H. Ootomo, D. Osei‑Kuffuor, Enrique S. Quintana‑Ortí, U. Rüde, J. Scott, J. Shalf, L. Stals, R. Tamstorf, S. Turek, P. Vacek, B. Vieuble, R. Yokota : “Mixed-Precision Computing for Scientific Discovery: Formats, Co-Design, and Responsible Approximation”, (2026)
  • L. Burke, E.‑M. El Arar, S. Graillat, Th. Mary : “Sharp Probabilistic Normwise Backward Error Bounds for LU Factorization”, (2026)
  • G. Yu, S. Graillat, H. Jiang, Ch. Huang, T. Tang : “A Compensated Estrin Scheme for Accurate Polynomial Evaluation”, (2026)
  • M. Havdiak, O. Lagerqvist, S. Graillat, R. Iakymchuk : “Reproducible Power Method for Computing Dominant Eigenvalue and Eigenvector”, (2026)
  • J. Berthomieu, S. Graillat, D. Lesnoff, Th. Mary : “Multiword matrix multiplication over large finite fields in floating-point arithmetic”, (2026)
  • S. Graillat : “Verifying zeros of interval polynomials”, (2026)
  • H. Benmaghnia, M. Felšöci, F. Jézéquel, S. Graillat : “How Many Digits Can You Trust? Numerical Validation and Instability Localization in a Real-World Application”, 30^th International Conference on Engineering of Complex Computer Systems (ICECCS2026), Brisbane, Australia (2026)
  • Y. Yang, D. Defour, S. Graillat, F. Jézéquel : “Optimization of the representation of results in interval arithmetic”, SIAM Journal on Scientific Computing, (Society for Industrial and Applied Mathematics) (2026)
• 2025
  • S. Graillat, J.‑M. Muller : “Emulation of the FMA and the correctly-rounded sum of three numbers in rounding-to-nearest floating-point arithmetic”, Numerische Mathematik, (Springer Verlag) (2025)
  • X. Lei, T. Gu, X. Xu, S. Graillat : “A General Framework for Reproducible Parallel Preconditioned Krylov Methods Using Three BLAS Variants”, (2025)
  • S. Graillat, Th. Mary : “Condense and Distill: fast distillation of large floating-point sums via condensation”, SIAM Journal on Scientific Computing, vol. 47 (2), pp. b583–b594, (Society for Industrial and Applied Mathematics) (2025)
• 2024
  • S. Graillat, F. Jézéquel, Th. Mary, R. Molina, D. Mukunoki : “Reduced-Precision and Reduced-Exponent Formats for Accelerating Adaptive Precision Sparse Matrix-Vector Product”, Euro-Par 2024: Parallel Processing, vol. 14803, Lecture Notes in Computer Science, Madrid, Spain, pp. 17-30, (Springer Nature Switzerland), (ISBN: 978-3-031-69583-4) (2024)
  • S. Graillat, J.‑M. Muller : “Emulation of 3Sum, 4Sum, the FMA and the FD2 instructions in rounded-to-nearest floating-point arithmetic”, (2024)
  • Q. Ferro, S. Graillat, Th. Hilaire, F. Jézéquel : “Auto-ajustement de la précision grâce au logiciel PROMISE”, CANUM 2024, 46^th National Congress on Numerical Analysis, Le-Bois-Plage-en-Ré, France (2024)
  • S. Graillat, F. Jézéquel, Th. Mary, R. Molina : “Adaptive precision sparse matrix-vector product and its application to Krylov solvers”, SIAM Journal on Scientific Computing, vol. 46 (1), pp. c30-c56, (Society for Industrial and Applied Mathematics) (2024)
• 2023
  • Q. Ferro, S. Graillat, Th. Hilaire, F. Jézéquel : “Performance of precision auto-tuned neural networks”, MCSoC 2023 (16^th IEEE International Symposium on Embedded Multicore/Manycore Systems-on-Chip), special session POAT (Performance Optimization and Auto-Tuning of Software on Multicore/Manycore Systems), Singapore, Singapore (2023)
  • S. Graillat, F. Jézéquel, Th. Mary, R. Molina, D. Mukunoki : “Performance Evaluation of Adaptive-Precision SpMV with Reduced-Precision Formats”, (2023)
  • Q. Ferro, S. Graillat, Th. Hilaire, F. Jézéquel : “Precision Auto-Tuning of High-Performance Neural Networks”, European Conference on Numerical Mathematics and Advanced Applications (ENUMATH), minisymposium "Mixed Precision Computations in Theory and Practice", Lisbon, Portugal (2023)
  • R. Molina, S. Graillat, F. Jézéquel, Th. Mary : “Adaptive Precision Sparse Matrix–Vector Product and its Application to Krylov Solvers”, International Congress on Industrial and Applied Mathematics (ICIAM 2023), Tokyo (Japan), Japan (2023)
  • S. Graillat, Y. Ibrahimy, C. Jeangoudoux, Ch. Lauter : “A parallel compensated Horner scheme for SIMD architecture”, (2023)
  • Q. Ferro, S. Graillat, Th. Hilaire, F. Jézéquel : “Precision auto-tuning using stochastic arithmetic”, 10^th International Congress on Industrial and Applied Mathematics (ICIAM), minisymposium ``Exploring Arithmetic and Data Representation Beyond the Standard in HPC”, Tokyo, Japan (2023)
  • R. Iakymchuk, S. Graillat, José I. Aliaga : “General framework for re-assuring numerical reliability in parallel Krylov solvers: A case of BiCGStab methods”, (2023)
  • J. Berthomieu, S. Graillat, D. Lesnoff, Th. Mary : “Modular matrix multiplication on GPU for polynomial system solving”, ACM Communications in Computer Algebra, vol. 57 (2), pp. 35-38, (Association for Computing Machinery (ACM)) (2023)
  • Th. Cameron, S. Graillat : “Accurate Horner Methods in Real and Complex Floating-Point Arithmetic”, (2023)
  • R. Molina, S. Graillat, F. Jézéquel, Th. Mary : “Adaptive Precision Sparse Iterative Solvers”, SIAM Conference on Computational Science and Engineering (CSE23), Amsterdam, Netherlands (2023)
  • K. Li, K. He, S. Graillat, H. Jiang, T. Gu, J. Liu : “Multi-level parallel multi-layer block reproducible summation algorithm”, Parallel Computing, vol. 115, pp. 102996, (Elsevier) (2023)
• 2022
  • R. Molina, S. Graillat, F. Jézéquel, Th. Mary : “Adaptive Precision Sparse Matrix-Vector Product and its application to Krylov Solvers”, 13^es Rencontres Arithmétique de l'Informatique Mathématique (RAIM 2022), Nantes, France (2022)
  • Q. Ferro, S. Graillat, Th. Hilaire, F. Jézéquel, B. Lewandowski : “Neural Network Precision Tuning Using Stochastic Arithmetic”, RAIM 2022 : 13^es Rencontres Arithmétique de l'Informatique Mathématique, Nantes, France (2022)
  • Q. Ferro, S. Graillat, Th. Hilaire, F. Jézéquel, B. Lewandowski : “Neural Network Precision Tuning Using Stochastic Arithmetic”, NSV'22, 15^th International Workshop on Numerical Software Verification,, Haifa, Israel (2022)
  • R. Molina, S. Graillat, F. Jézéquel, Th. Mary : “Adaptive Precision Sparse Matrix-Vector Product and its Application to Krylov Solvers”, Sparse Days Meeting 2022, Saint-Girons, France (2022)
  • Q. Ferro, S. Graillat, Th. Hilaire, F. Jézéquel, B. Lewandowski : “Neural Network Precision Tuning Using Stochastic Arithmetic”, Sparse Days conference, Saint-Girons, France (2022)
  • X. Lei, T. Gu, S. Graillat, H. Jiang, J. Qi : “A Fast Parallel High-Precision Summation Algorithm Based on AccSumK”, Journal of Computational and Applied Mathematics, vol. 406, pp. 113827, (Elsevier) (2022)
  • Th. Cameron, S. Graillat : “On a compensated Ehrlich-Aberth method for the accurate computation of all polynomial roots”, Electronic Transactions on Numerical Analysis, vol. 55, pp. 401–423, (Kent State University Library) (2022)
• 2021
  • S. Graillat, F. Jézéquel, E. Queiros Martins, M. Spyropoulos : “Computing multiple roots of polynomials in stochastic arithmetic with Newton method and approximate GCD”, International Symposium on Symbolic and Numeric Algorithms for Scientific Computing (SYNASC 2021), Timisoara, Romania (2021)
  • R. Iakymchuk, S. Graillat, J. Aliaga : “General framework for deriving reproducible Krylov subspace algorithms: A BiCGStab case study”, (2021)
  • R. Iakymchuk, D. Mukunoki, T. Ogita, K. Ozaki, S. Graillat : “Accurate and Reproducible Conjugate Gradient in Hybrid Parallel Environments”, (2021)
  • F. Jézéquel, S. Graillat, D. Mukunoki, T. Imamura, R. Iakymchuk : “Fast rounding error estimation for compute-intensive operations using standard floating-point arithmetic”, RAIM (Rencontres Arithmétiques de l'Informatique Mathématique), Paris, France (2021)
• 2020
  • S. Graillat, F. Jézéquel : “Tight interval inclusions with compensated algorithms”, IEEE Transactions on Computers, vol. 69 (12), pp. 1774-1783, (Institute of Electrical and Electronics Engineers) (2020)
  • R. Iakymchuk, M. Vayá, S. Graillat, J. Aliaga, E. Quintana‑Ortí : “Reproducibility of parallel preconditioned conjugate gradient in hybrid programming environments”, International Journal of High Performance Computing Applications, vol. 34 (5), pp. 502-518, (SAGE Publications) (2020)
  • F. Jézéquel, S. Graillat, D. Mukunoki, T. Imamura, R. Iakymchuk : “Can we avoid rounding-error estimation in HPC codes and still get trustworthy results?”, Lecture Notes in Computer Science, Los Angeles, CA, United States (2020)
  • S. Graillat, V. Lefèvre, J.‑M. Muller : “Alternative Split Functions and Dekker’s Product”, Proceedings of ARITH-2020, IEEE 27^th Symposium on Computer Arithmetic, Portland, United States, pp. 1-7, (IEEE) (2020)
  • R. Iakymchuk, M. Barreda, S. Graillat, J. Aliaga, E. Quintana‑Ortí : “Reproducibility of Parallel Preconditioned Conjugate Gradient in Hybrid Programming Environments”, (2020)
  • F. Jézéquel, S. Graillat, D. Mukunoki, T. Imamura, R. Iakymchuk : “Can we avoid rounding-error estimation in HPC codes and still get trustful results?”, (2020)
  • T. Boku, N. Fujita, S. Graillat, J. Huthmann, R. Iakymchuk, T. Imamura, F. Jézéquel, A. Koshiba, D. Mukunoki, K. Sano, Y. Tan : “Minimal-Precision Computing for High-Performance, Energy-Efficient, and Reliable Computations”, 2^nd R-CCS international symposium, K to Fugaku: Simulation, Big Data and AI supporting Society 5.0, Kobe, Japan (2020)
  • R. Iakymchuk, S. Graillat, F. Jézéquel, D. Mukunoki, T. Imamura, Y. Tan, A. Koshiba, J. Huthmann, K. Sano, N. Fujita, T. Boku : “Optimizing Precision for High-Performance, Robust, and Energy-Efficient Computations”, International Conference on High Performance Computing in Asia-Pacific Region,, Fukuoka, Japan (2020)
• 2019
  • T. Boku, N. Fujita, S. Graillat, J. Huthmann, R. Iakymchuk, T. Imamura, F. Jézéquel, A. Koshiba, D. Mukunoki, K. Sano, Y. Tan : “Minimal-Precision Computing for High-Performance, Energy-Efficient, and Reliable Computations”, International Conference on High Performance Computing, Networking, Storage and Analysis (SC19), Denver, United States (2019)
  • T. Imamura, D. Mukunoki, R. Iakymchuk, F. Jézéquel, S. Graillat : “Numerical Reproducibility based on Minimal-Precision Validation”, Computational Reproducibility at Exascale Workshop (CRE2019), in conjunction with the International Conference on High Performance Computing, Networking, Storage and Analysis (SC19), Denver, United States (2019)
  • D. Mukunoki, I. Toshiyuki, Y. Tan, A. Koshiba, J. Huthmann, K. Sano, F. Jézéquel, S. Graillat, R. Iakymchuk, N. Fujita, T. Boku : “Minimal-Precision Computing for High-Performance, Energy-Efficient, and Reliable Computations”, France-Japan-Germany trilateral workshop: Convergence of HPC and Data Science for Future Extreme Scale Intelligent Applications, Tokyo, Japan (2019)
  • R. Iakymchuk, S. Graillat, D. Defour, E. Quintana‑Ortí : “Hierarchical approach for deriving a reproducible unblocked LU factorization”, International Journal of High Performance Computing Applications, pp. #1094342019832968, (SAGE Publications) (2019)
  • S. Graillat, F. Jézéquel, R. Picot, F. Févotte, B. Lathuilière : “Auto-tuning for floating-point precision with Discrete Stochastic Arithmetic”, Journal of computational science, vol. 36, pp. 101017, (Elsevier) (2019)
• 2018
  • S. Graillat : “An accurate algorithm for evaluating rational functions”, Applied Mathematics and Computation, vol. 337, pp. 494-503, (Elsevier) (2018)
  • S. Graillat, F. Jézéquel : “Tight interval inclusions with compensated algorithms”, 18^th international symposium on Scientific Computing, Computer Arithmetic and Validated Numerics (SCAN 2018), 18^th international symposium on Scientific Computing, Computer Arithmetic and Validated Numerics (SCAN 2018), Book of Abstracts, Tokyo, Japan, pp. 86-87 (2018)
  • S. Graillat, F. Jézéquel, R. Picot : “Numerical Validation of Compensated Algorithms with Stochastic Arithmetic”, Applied Mathematics and Computation, vol. 329, pp. 339-363, (Elsevier) (2018)
  • S. Graillat, F. Jézéquel, R. Picot, F. Févotte, B. Lathuilière : “Numerical validation in quadruple precision using stochastic arithmetic”, TNC'18. Trusted Numerical Computations, vol. 8, Kalpa Publications in Computing, Krakow, Poland, pp. 38-53, (EasyChair) (2018)
• 2017
  • R. Iakymchuk, S. Graillat, D. Defour, E. Laure, E. Quintana‑Ortí : “Towards a Reproducible Solution of Linear Systems”, Supercomputing Conference 2017-Computational Reproducibility at Exascale Workshop, Denver, United States (2017)
  • S. Boldo, S. Graillat, J.‑M. Muller : “On the robustness of the 2Sum and Fast2Sum algorithms”, ACM Transactions on Mathematical Software, vol. 44 (1), (Association for Computing Machinery) (2017)
  • R. Iakymchuk, E. Quintana‑Ortí, E. Laure, S. Graillat : “Towards Reproducible Blocked LU Factorization”, 4^th International Workshop on Reproducibility in Parallel Computing in conjunction with IPDPS 2017 - 31^st IEEE International Parallel & Distributed Processing Symposium, Orlando, United States (2017)
  • L. Abbas‑Turki, S. Graillat : “Resolution of a large number of small random symmetric linear systems in single precision arithmetic on GPUs”, Journal of Supercomputing, vol. 73 (4), pp. 1360-1386, (Springer Verlag) (2017)
  • S. Graillat : “Accurate computations with polynomials”, The International Workshop on Numerical Verification and its Applications, Miyako-jima, Okinawa, Japan (2017)
  • S. Graillat, Y. Ibrahimy, C. Jeangoudoux, Ch. Lauter : “A Parallel Compensated Horner Scheme”, CSE 2017, SIAM Conference on Computational Science and Engineering (CSE), Atlanta, United States (2017)
  • S. Graillat, C. Jeangoudoux, Ch. Lauter : “MPDI: A Decimal Multiple-Precision Interval Arithmetic Library”, Reliable Computing Journal, vol. 25, Volume 25 (Special volume containing refereed papers from SCAN 2016), pp. 38-52 (2017)
• 2016
  • P. Fortin, M. Gouicem, S. Graillat : “GPU-Accelerated Generation of Correctly Rounded Elementary Functions”, ACM Transactions on Mathematical Software, vol. 43 (3), pp. 22:1-22:26, (Association for Computing Machinery) (2016)
  • R. Iakymchuk, S. Graillat, D. Defour, E. Quintana‑Ortí : “Hierarchical Approach for Deriving a Reproducible LU factorization on GPUs”, The Numerical Reproducibility at Exascale (NRE16) workshop held as part of the Supercomputing Conference (SC16), Salt Lake City, UT, United States (2016)
  • S. Graillat, F. Jézéquel, M. Ibrahim : “Dynamical control of Newton’s method for multiple roots of polynomials”, Reliable Computing Journal, vol. 21 (2016)
  • S. Graillat, C. Jeangoudoux, Ch. Lauter : “A Decimal Multiple-Precision Interval Arithmetic Library”, book of abstracts : 17^th International Symposium on Scientific Computing, Computer Arithmetics and Verified Numerics., Uppsala, Sweden (2016)
  • S. Graillat, F. Jézéquel, R. Picot, F. Févotte, B. Lathuilière : “PROMISE: floating-point precision tuning with stochastic arithmetic”, 17^th international symposium on Scientific Computing, Computer Arithmetic and Verified Numerics (SCAN 2016), UPPSALA, Sweden, pp. 98-99 (2016)
  • R. Iakymchuk, I. Toshiyuki, S. Graillat, S. Markidis, E. Laure : “A Case Study of the Reproducibility Issues in EigenExa”, EASC2016, Exascale Applications and Software Conference, Stockholm, Sweden (2016)
  • R. Iakymchuk, D. Defour, C. Collange, S. Graillat : “Reproducible and Accurate Algorithms for Numerical Linear Algebra”, SIAM Conference on Parallel Processing for Scientific Computing (PP16), Paris, France, (SIAM) (2016)
  • H. Jiang, S. Graillat, R. Barrio, C. Yang : “Accurate, validated and fast evaluation of elementary symmetric functions and its application”, Applied Mathematics and Computation, vol. 273, pp. 1160-1178, (Elsevier) (2016)
  • R. Iakymchuk, D. Defour, S. Graillat : “Towards Fast, Accurate and Reproducible LU Factorization”, SCAN 2016, 17^th international symposium on Scientific Computing, Computer Arithmetic and Validated Numerics, Uppsala, Sweden, pp. 59-60 (2016)
  • L. Abbas‑Turki, S. Graillat : “Resolution of a large number of small random symmetric linear systems in single precision arithmetic on GPUs”, International conference on Monte-Carlo techniques, Paris, France, pp. 25 (2016)
  • R. Iakymchuk, D. Defour, C. Collange, S. Graillat : “Reproducible and Accurate Matrix Multiplication”, 16^th International Symposium on Scientific Computing, Computer Arithmetic, and Validated Numerics n°9553, Lecture Notes of Computer Science, Wurzburg, Germany, pp. 126-137 (2016)
• 2015
  • S. Graillat, F. Jézéquel, R. Picot : “Numerical Validation of Compensated Summation Algorithms with Stochastic Arithmetic”, 8^th International Workshop on Numerical Software Verification, NSV 2015, vol. 317, Electronic Notes in Theoretical Computer Science, Seattle, United States, pp. 55-69, (Elsevier) (2015)
  • C. Collange, D. Defour, S. Graillat, R. Iakymchuk : “Numerical Reproducibility for the Parallel Reduction on Multi- and Many-Core Architectures”, Parallel Computing, vol. 49, pp. 83-97, (Elsevier) (2015)
  • S. Graillat, V. Lefèvre, J.‑M. Muller : “On the maximum relative error when computing integer powers by iterated multiplications in floating-point arithmetic”, Numerical Algorithms, vol. 70 (3), pp. 653-667, (Springer Verlag) (2015)
  • S. Graillat, Ch. Lauter, P. Peter Tang, N. Yamanaka, Sh. Oishi : “Efficient Calculations of Faithfully Rounded l2-Norms of n-Vectors”, ACM Transactions on Mathematical Software, vol. 41 (4), pp. 24:1, (Association for Computing Machinery) (2015)
  • C. Collange, D. Defour, S. Graillat, R. Iakymchuk : “Numerical Reproducibility for the Parallel Reduction on Multi- and Many-Core Architectures”, (2015)
  • R. Iakymchuk, D. Defour, C. Collange, S. Graillat : “Reproducible Triangular Solvers for High-Performance Computing”, 2015 12^th International Conference on Information Technology - New Generations, Las Vegas, NV, United States, pp. 353-358, (IEEE) (2015)
  • R. Iakymchuk, S. Graillat, C. Collange, D. Defour : “ExBLAS: Reproducible and Accurate BLAS Library”, RAIM: Rencontres Arithmétiques de l’Informatique Mathématique, Rennes, France (2015)
  • R. Iakymchuk, D. Defour, C. Collange, S. Graillat : “Reproducible and Accurate Matrix Multiplication for GPU Accelerators”, (2015)
  • R. Iakymchuk, C. Collange, D. Defour, S. Graillat : “ExBLAS: Reproducible and Accurate BLAS Library”, NRE: Numerical Reproducibility at Exascale, Austin, TX, United States (2015)
  • R. Iakymchuk, C. Collange, D. Defour, S. Graillat : “Reproducibility and Accuracy for High-Performance Computing”, 7^e Rencontre Arithmétique de l'Informatique Mathématique, Rennes, France (2015)
• 2014
  • S. Graillat, Ch. Lauter, P. Peter Tang, N. Yamanaka, Sh. Oishi : “A method of calculating faithful rounding of l2-norm for n-vectors”, Proceedings of the 16^th GAMM - IMACS International Symposium on Scientific Computing, Computer Arithmetic, and Verified Numerical Computation (SCAN), Wuerzburg, Germany, pp. 60-61 (2014)
  • C. Collange, D. Defour, S. Graillat, R. Iakymchuk : “Reproducible and Accurate Matrix Multiplication for High-Performance Computing”, 16^th GAMM-IMACS International Symposium on Scientific Computing, Computer Arithmetic and Validated Numerics, Wuerzburg, Germany, pp. 42-43 (2014)
  • C. Collange, D. Defour, S. Graillat, R. Iakymchuk : “A Reproducible Accurate Summation Algorithm for High-Performance Computing”, SIAM Workshop on Exascale Applied mathematics Challenges and opportunites, Chicago, United States (2014)
• 2013
  • S. Graillat : “Contribution to the increase of accuracy and validation of numerical algorithms”, habilitación para dirigir investigaciones, defensa 02/12/2013 (2013)
  • H. Jiang, S. Graillat, C. Hu, Sh. Lia, X. Liao, L. Cheng, F. Su : “Accurate evaluation of the $k$-th derivative of a polynomial”, Journal of Computational and Applied Mathematics, vol. 243, pp. 28-47, (Elsevier) (2013)
  • H. Jiang, S. Graillat, R. Barrio : “Accurate and Fast Evaluation of Elementary Symmetric Functions”, 21^st IEEE Symposium on Computer Arithmetic, ARITH 2013, Austin, TX, United States, pp. 183-190, (IEEE) (2013)
• 2012
  • P. Fortin, M. Gouicem, S. Graillat : “Solving the Table Maker’s Dilemma by reducing divergence on GPU”, Proceedings of the 15^th GAMM-IMACS International Symposium on Scientific Computing, Computer Arithmetic and Verified Numerical Computations, Novosibirsk, Russian Federation, pp. 45-46 (2012)
  • S. Graillat, V. Ménissier‑Morain : “Accurate summation, dot product and polynomial evaluation in complex floating point arithmetic”, Information and Computation n°216, pp. 57-71, (Elsevier) (2012)
  • P. Fortin, M. Gouicem, S. Graillat : “Towards solving the Table Maker’s Dilemma on GPU”, 20^th Euromicro International Conference on Parallel, Distributed and Network-Based Processing, Garching, Germany, pp. 407-415, (IEEE Computer Society) (2012)
• 2011
  • S. Graillat, F. Jézéquel, Sh. Wang, Y. Zhu : “Stochastic Arithmetic in Multiprecision”, Mathematics in Computer Science, vol. 5 (4), pp. 359-375, (Springer) (2011)
• 2010
  • S. Graillat, F. Jézéquel, Y. Zhu : “SAM: a multiprecision stochastic arithmetic library”, 14^th international symposium on Scientific Computing, Computer Arithmetic and Validated Numerics (SCAN 2010), Lyon, France, pp. 70-71 (2010)
  • S. Graillat, F. Jézéquel, Y. Zhu : “Stochastic Arithmetic in Multiprecision”, Third International Workshop on Numerical Software Verification (NSV-3), part of Federated Logic Conference (FLoC), Edinburgh, United Kingdom (2010)
  • J. Jean, S. Graillat : “Fast dot product over finite field”, (2010)
• 2009
  • S. Graillat, Ph. Trébuchet : “A new algorithm for computing certified numerical approximations of the roots of a zero-dimensional system”, ISSAC'09 - Proceedings of the 2009 international symposium on Symbolic and algebraic computation, Seoul, Korea, Republic of, pp. 167-173, (ACM) (2009)
  • S. Graillat : “Accurate Floating Point Product and Exponentiation”, IEEE Transactions on Computers, vol. 58 (7), pp. 994-1000, (Institute of Electrical and Electronics Engineers) (2009)
  • S. Graillat, Ph. Langlois, N. Louvet : “Algorithms for Accurate, Validated and Fast Polynomial Evaluation”, Japan Journal of Industrial and Applied Mathematics, vol. 26 (2-3), pp. 191-214, (Kinokuniya Company) (2009)
  • H. Nguyen, S. Graillat, J.‑L. Lamotte : “Extended precision with a rounding mode toward zero environment. Application on the CELL processor”, International Journal of Reliability and Safety, vol. 3 (1-3), pp. 153-173, (Inderscience) (2009)
  • J.‑M. Chesneaux, S. Graillat, F. Jézéquel : “Rounding errors”, chapter in Wiley Encyclopedia of Computer Science and Engineering (Benjamin Wah, ed.), vol. 4, pp. 2490-2494, (ISBN: 978-0-471-38393-2) (2009)
• 2008
  • S. Graillat : “Accurate simple zeros of polynomials”, 13^th GAMM - IMACS International Symposium on Scientific Computing, Computer Arithmetic and Verified Numerical Computations SCAN'08, El Paso, Texas, United States, pp. 52-53 (2008)
  • S. Graillat, J.‑L. Lamotte, Siegfried M. Rump, S. Markov : “Interval arithmetic on the Cell processor”, 13^th GAMM - IMACS International Symposium on Scientific Computing, Computer Arithmetic and Verified Numerical Computations SCAN'08, El Paso, Texas, United States, pp. 54-54 (2008)
  • S. Graillat : “Accurate simple zeros of polynomials in floating point arithmetic”, Computers & Mathematics with Applications, vol. 56 (4), pp. 1114-1120, (Elsevier) (2008)
  • S. Graillat, V. Ménissier‑Morain : “Compensated Horner scheme in complex floating point arithmetic”, Proceedings, 8^th Conference on Real Numbers and Computers, Santiago de Compostela, Spain, pp. 133-146 (2008)
  • S. Graillat : “Accurate Floating Point Product”, Proceedings of the Workshop on Reliable Engineering Computing, Savannah, Georgia, United States, pp. 351-361 (2008)
  • H. Nguyen, S. Graillat, J.‑L. Lamotte : “Precise and effective scientific calculation on the CELL processor”, Proceedings of the Workshop on Reliable Engineering Computing, Savannah, Georgia, United States, pp. 333-350 (2008)
  • S. Graillat, J.‑L. Lamotte, H. Nguyen : “Error-Free Transformation in Rounding Mode toward Zero”, Numerical Validation in Current Hardware Architectures, revised papers, vol. 5492, Lecture Notes In Computer Science, Dagstuhl, Germany, pp. 217-229, (Springer) (2008)
  • S. Graillat : “Some topological and geometric properties of pseudozero set”, Applied Mathematics E - Notes, vol. 8, pp. 98-108, (Tsing Hua University) (2008)
• 2007
  • S. Graillat : “Pseudozero Set of Real Multivariate Polynomials”, Mathematics in Computer Science, vol. 1 (2), pp. 337-352, (Springer) (2007)
  • S. Graillat, V. Ménissier‑Morain : “Error-Free Transformations in Real and Complex Floating Point Arithmetic”, Proceedings of International Symposium on Nonlinear Theory and its Applications (NOLTA'07), Vancouver, Canada, pp. 341-344 (2007)
  • S. Graillat, Ph. Langlois : “Real and complex pseudozero sets for polynomials with applications”, RAIRO - Theoretical Informatics and Applications (RAIRO: ITA), vol. 41 (1), pp. 45-56, (EDP Sciences) (2007)
• 2006
  • S. Graillat : “Validated Pseudozero Set of Polynomials”, 12^th GAMM - IMACS International Symposium on Scientific Computing, Computer Arithmetic, and Validated Numerics, Duisburg, Germany, Duisburg, Germany, pp. 160-161, (IEEE) (2006)
  • S. Graillat, Ph. Langlois, N. Louvet : “Choosing a twice more accurate dot product implementation”, 4^th International Conference of Numerical Analysis and Applied Mathematics, Hersonnisos, Crete, Greece, pp. 498-499 (2006)